4477264 has 20 divisors (see below), whose sum is σ = 9463680. Its totient is φ = 2035040.

The previous prime is 4477261. The next prime is 4477271. The reversal of 4477264 is 4627744.

It is a d-powerful number, because it can be written as 4² + 4⁴ + 7³ + 7⁴ + 2³ + 6⁷ + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12544 + ... + 12895.

It is an arithmetic number, because the mean of its divisors is an integer number (473184).

Almost surely, 2^4477264 is an apocalyptic number.

4477264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4477264 is an abundant number, since it is smaller than the sum of its proper divisors (4986416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4477264 is a wasteful number, since it uses less digits than its factorization.

4477264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25458 (or 25452 counting only the distinct ones).

The product of its digits is 37632, while the sum is 34.

The square root of 4477264 is about 2115.9546308936. The cubic root of 4477264 is about 164.8178461209.

The spelling of 4477264 in words is "four million, four hundred seventy-seven thousand, two hundred sixty-four".